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Finding the Fourth Proportional to 15,746.09, 21,729.35 and 8,673.17

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Solution

The fourth proportional to 15,746.09, 21,729.35 and 8,673.17 is: 11,968.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,746.09 : 21,729.35 = 8,673.17 : x
  2. Step 2: Convert to fraction form
    15,746.09/21,729.35 = 8,673.17/x
  3. Step 3: Cross multiply
    15,746.09x = 21,729.35 × 8,673.17
  4. Step 4: Simplify right side
    15,746.09x = 188,462,303.17
  5. Step 5: Solve for x
    x = 188,462,303.17/15,746.09
  6. Step 6: Final answer
    x = 11,968.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.